Solving Proportions with Algebraic Expressions A review of the cross-products property and the distributive property.

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Presentation transcript:

Solving Proportions with Algebraic Expressions A review of the cross-products property and the distributive property

The Cross-Products Property

The Distributive Property What is the distributive property? a(b + c) = ab + ac HERE is the PROOF:

The Distributive Property For this one we will use a geometric proof Begin with: a(b + c) Create a rectangle with lengths a, b, c similar to the following: b + c a

The Distributive Property a(b + c) Find the Area of each piece of the rectangle: b + c aab ac

The Distributive Property a(b + c) Add the Areas to Find the Answer: ab + ac SO… a(b + c) = ab + ac b + c aab ac

Putting it All Together

Example 2